Exploring Rational and Irrational Numbers

The video tutorial covers the distinction between rational and irrational numbers. It begins with an introduction to the topic, followed by a detailed explanation of irrational numbers, including non-terminating decimals, pi, and radicals. The tutorial then guides students through classifying numbers as rational or irrational using examples. Rational numbers are explained, including whole numbers, integers, fractions, and decimals. The video includes practice problems with solutions and concludes with a review and encouragement to revisit the material if needed.

Which of the following numbers is irrational?

• 4.06 with a repeating 6

• Pi

• Negative 15

• 7/12

What makes a number irrational?

• It is a non-terminating decimal that repeats

• It is a fraction with a non-zero denominator

• It is a non-terminating decimal that does not repeat

• It is a whole number

Why is the square root of 5 considered irrational?

• Because 5 is a perfect square

• Because 5 is not a perfect square

• Because it is a fraction

• Because it is a whole number

Which of the following is a rational number?

• Negative 15

• Square root of 5

• 3.1871877...

• Pi

What type of number is 0?

• Non-terminating decimal

• Whole number

• Irrational

• Fraction with zero denominator

Why is 7/12 considered a rational number?

• Because it includes the pi symbol

• Because it is a non-terminating decimal

• Because it is a fraction with a non-zero denominator

• Because it is a whole number

Which of the following is an example of a terminating decimal?

• Square root of 24

• Pi

• 1.75

• 4.066666...

What makes 2.013013... a rational number?

• It includes the pi symbol

• It is a fraction with a zero denominator

• It is a non-terminating decimal with an exact repeating pattern

• It is a whole number

Why is 5/0 considered irrational?

• Because it includes the pi symbol

• Because it is a non-terminating decimal

• Because it is a fraction with a zero denominator

• Because it is a whole number

What type of number is the square root of 100?

• Fraction with zero denominator

• Perfect square

• Non-terminating decimal

• Irrational